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Finding the Fourth Proportional to 7,768.36, 10,723.62 and 7,361.20

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Solution

The fourth proportional to 7,768.36, 10,723.62 and 7,361.20 is: 10,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.36 : 10,723.62 = 7,361.20 : x
  2. Step 2: Convert to fraction form
    7,768.36/10,723.62 = 7,361.20/x
  3. Step 3: Cross multiply
    7,768.36x = 10,723.62 × 7,361.20
  4. Step 4: Simplify right side
    7,768.36x = 78,938,711.54
  5. Step 5: Solve for x
    x = 78,938,711.54/7,768.36
  6. Step 6: Final answer
    x = 10,161.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.